Introduction To Statistics And Data Analysis

6th Edition

ISBN: 9781337793612

Author: PECK, Roxy.

Publisher: Cengage Learning,

See similar textbooks

Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

Videos

Textbook Question

Chapter 4.1, Problem 2E

The article “Caffeine Content of Drinks” (caffeineinformer.com/the-caffeine-database, retrieved February 22, 2018) gave the following data on caffeine concentration (mg/ounce) for eight top-selling energy drinks:

Chapter 4.1, Problem 2E, The article Caffeine Content of Drinks (caffeineinformer.com/the-caffeine-database, retrieved , example 1

Data set available online

Chapter 4.1, Problem 2E, The article Caffeine Content of Drinks (caffeineinformer.com/the-caffeine-database, retrieved , example 2

a. What is the value of the mean caffeine concentration for this set of top-selling energy drinks?
b. Coca-Cola has 2.9 mg/ounce of caffeine and Pepsi Cola has 3.2 mg/ounce of caffeine. Write a sentence explaining how the caffeine concentration of top-selling energy drinks compares to that of these colas.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution & Answer

Chapter 4 Solutions

Introduction To Statistics And Data Analysis

Ch. 4.1 - The following are the prices (in dollars) of the...Ch. 4.1 - The article Caffeine Content of Drinks...Ch. 4.1 - Consumer Reports Health...Ch. 4.1 - Consumer Reports Health...Ch. 4.1 - The article The Wedding Industrys Pricey Little...Ch. 4.1 - The state of California defines family income...Ch. 4.1 - The report State of the News Media 2015 (Pew...Ch. 4.1 - Each student in a sample of 20 seniors at a...Ch. 4.1 - The U.S. Department of Transportation reported the...Ch. 4.1 - The ministry of Health and Long-Term Care in...

Ch. 4.1 - Houses in California are expensive, especially on...Ch. 4.1 - Consider the following statement: More than 65% of...Ch. 4.1 - A sample consisting of four pieces of luggage was...Ch. 4.1 - Suppose that 10 patients with meningitis received...Ch. 4.1 - A study of the lifetime (in hours) for a certain...Ch. 4.1 - An instructor has graded 19 exam papers submitted...Ch. 4.2 - The following data are costs (in cents) per ounce...Ch. 4.2 - Cost per serving (in cents) for six high-fiber...Ch. 4.2 - Combining the cost-per-serving data for high-fiber...Ch. 4.2 - Prob. 20E Ch. 4.2 - The accompanying data are consistent with summary...Ch. 4.2 - The paper referenced in the previous exercise also...Ch. 4.2 - The price (in dollars) of the eight smart phones...Ch. 4.2 - In addition to the prices of the highly rated...Ch. 4.2 - In an experiment to assess the effect of listening...Ch. 4.2 - The paper referenced in the previous exercise also...Ch. 4.2 - The accompanying data on number of minutes used...Ch. 4.2 - Give two sets of five numbers that have the same...Ch. 4.2 - Morningstar is an investment research from that...Ch. 4.2 - The U.S. Department of Transportation reported the...Ch. 4.2 - The Ministry of Health and Long-Term Care in...Ch. 4.2 - In 1997, a woman sued a computer keyboard...Ch. 4.2 - The standard deviation alone does not measure...Ch. 4.3 - Based on a large national sample of working...Ch. 4.3 - The report Most Licensed Drivers Age 85+: States...Ch. 4.3 - Data on the gasoline tax per gallon (in cents) in...Ch. 4.3 - The U.S. Department of Health and Human Services...Ch. 4.3 - Fiber content (in grns per serving) for 18 high...Ch. 4.3 - In addition to the fiber contents given in the...Ch. 4.3 - Use the fiber content and sugar content data given...Ch. 4.3 - The article The Bestand WorstPlaces to be a...Ch. 4.4 - The average playing time of music albums in a...Ch. 4.4 - In a study investigating the effect of car speed...Ch. 4.4 - The U.S. Census Bureau (2000 census) reported the...Ch. 4.4 - For the travel time distribution given in the...Ch. 4.4 - Use the information given in the previous two...Ch. 4.4 - Mobile homes are tightly constructed for energy...Ch. 4.4 - The article Impact of Berkeley Excise Tax on...Ch. 4.4 - A student took two national aptitude tests. The...Ch. 4.4 - Suppose that your younger sister is applying for...Ch. 4.4 - The report Who Borrows Most? Bachelors Degree...Ch. 4.4 - The paper Study of the Flying Ability of...Ch. 4.4 - Suppose that the manufacturer of a scale claims...Ch. 4.4 - Suppose that your statistics professor returned...Ch. 4.4 - The paper Answer Changing in Multiple Choice...Ch. 4.4 - Suppose that the average reading speed of students...Ch. 4.4 - The following data values are 2014 per capita...Ch. 4.4 - The accompanying table gives the mean and standard...Ch. 4.5 - The authors of the paper Delayed Time to...Ch. 4.5 - The paper Portable Social Groups: Willingness to...Ch. 4 - Acrylamide (a possible cancer-causing substance)...Ch. 4 - Prob. 62CR Ch. 4 - Because some homes have selling prices that are...Ch. 4 - Although bats are not known for their eyesight,...Ch. 4 - For the data in the previous exercise, subtract 10...Ch. 4 - For the data of Exercise 4.64, multiply each data...Ch. 4 - The Bloomberg web site included the data in the...Ch. 4 - Refer to the data given in the previous exercise....Ch. 4 - Age at diagnosis for each of 20 patients under...Ch. 4 - Suppose that the distribution of scores on an exam...

Additional Math Textbook Solutions

Find more solutions based on key concepts

Explain the procedure for obtaining the percentage of all the possible observations that lie within the specifi...

Introductory Statistics (10th Edition)

Testing Hypotheses. In Exercises 13-24, assume that a simple random sample has been selected and test the given...

Elementary Statistics Using the TI-83/84 Plus Calculator, Books a la Carte Edition (4th Edition)

Fill in the blank: The probability that a fair coin lands heads is 0.5. Therefore, we can be sure that if we to...

Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561

In a test of the quality of two television commercials, each commercial was shown in a separate test area six t...

Statistics for Business & Economics, Revised (MindTap Course List)

Teacher Salaries The following data from several years ago represent salaries (in dollars) from a school distri...

Elementary Statistics: A Step By Step Approach

Develop a spreadsheet for computing the demand for any values of the input variables in the linear demand and n...

Business Analytics

Knowledge Booster

$Statistics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.